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Simple solution wouldn't be state/nation-wide restrictions.
It'd be educating the idiots. And I'm not referring to the poor children.
What kind of state has to ban video games, are it's parents that horrid of a people that they can't protect or even understand what their kids get from video games? Not to mention, I cannot imagine how such people got put into high power if they still believe in the broken link between video games and violence. Not only is it false, but the reverse is far more true, those children who do not play video games, specifically mainstream, are much more prone to violence, as they become social outcasts after they're unable to relate to their peers. {Video games promote much social bonding} There are even dozens of 'healing' properties from video games, from stress relief to enhancing brain growth. Anyone from a TF2 player to a Touhou-addict has a much faster mind than a person who, say, simply reads books, and can solve problems quicker because of it.
And yes, they just did only try 'Violent' video games, but how many games do you play that don't have at least a bit of violence in them? Not to mention how dead wrong that is...
I'd love to rant more but I might shut down from reaching my stupidity threshold of the day.